We study the implications of a successful leptogenesis within the framework of Minimal Lepton Flavour Violation combined with radiative resonant leptogenesis and the PMNS matrix being the only source of CP violation, which can be obtained provided flavour effects are taken into account. We find that the right amount of the baryon asymmetry of the universe can be generated under the conditions of a normal hierarchy of the light neutrino masses, a non-vanishing Majorana phase, sin (θ 13 ) 0.13 and m ν,lightest 0.04 eV. If this is fulfilled, we find strong correlations among ratios of charged LFV processes.
PreliminariesLeptogenesis offers the possibility to accommodate the observed matter-antimatter asymmetry of the universe. While the common belief in the past years was that distinguishing flavours in the Boltzmann equations is not necessary, it turned out recently [1][2][3][4][5][6][7] that flavour effects can be relevant for the generation of the baryon asymmetry of the universe (BAU).For a long time, the common belief was that leptonic low-energy CP violation does not automatically imply a non-vanishing BAU through leptogenesis. This however does not universally hold when ranges of the Majorana scale are considered in which flavour effects play a role [4,[7][8][9][10]. These analyses were performed for hierarchical [8][9][10], for two quasi-degenerate [9] and for three quasi-degenerate heavy right-handed Majorana neutrinos [7]. In the present paper, we show that within the framework of Minimal Lepton Flavour Violation (MLFV) with three heavy right-handed Majorana neutrinos and the BAU generated by radiative resonant leptogenesis (RRL) [7], clear conditions for a successful leptogenesis have to be fulfilled.